What is the Greatest Common Factor of 83984 and 83990?

Greatest common factor (GCF) of 83984 and 83990 is 2.

GCF(83984,83990) = 2

We will now calculate the prime factors of 83984 and 83990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83984 and 83990.

How to find the GCF of 83984 and 83990?

We will first find the prime factorization of 83984 and 83990. After we will calculate the factors of 83984 and 83990 and find the biggest common factor number .

Step-1: Prime Factorization of 83984

Prime factors of 83984 are 2, 29, 181. Prime factorization of 83984 in exponential form is:

83984 = 2⁴ × 29¹ × 181¹

Step-2: Prime Factorization of 83990

Prime factors of 83990 are 2, 5, 37, 227. Prime factorization of 83990 in exponential form is:

83990 = 2¹ × 5¹ × 37¹ × 227¹

Step-3: Factors of 83984

List of positive integer factors of 83984 that divides 83984 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 181, 232, 362, 464, 724, 1448, 2896, 5249, 10498, 20996, 41992

Step-4: Factors of 83990

List of positive integer factors of 83990 that divides 83984 without a remainder.

1, 2, 5, 10, 37, 74, 185, 227, 370, 454, 1135, 2270, 8399, 16798, 41995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83984 and 83990. The biggest common factor number is the GCF number.
So the greatest common factor 83984 and 83990 is 2.

Also check out the Least Common Multiple of 83984 and 83990